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Finding the Fourth Proportional to 501.96, 695.91 and 484.14

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Solution

The fourth proportional to 501.96, 695.91 and 484.14 is: 671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 695.91 = 484.14 : x
  2. Step 2: Convert to fraction form
    501.96/695.91 = 484.14/x
  3. Step 3: Cross multiply
    501.96x = 695.91 × 484.14
  4. Step 4: Simplify right side
    501.96x = 336,917.87
  5. Step 5: Solve for x
    x = 336,917.87/501.96
  6. Step 6: Final answer
    x = 671.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.